$\backslash$table$[[,$Time $($weeks$),$Cost $($$$)],[$Activity$,$Normal,Crash,Normal,Crash$],[$A$,3,1,900,1,700],[$B$,6,3,2,000,4,100],[$C$,2,1,500,1,000],[$D$,5,3,1,800,2,400],[$E$,4,3,1,500,1,850],[$F$,3,1,3,000,3,900],[$G$,9,4,8,000,9,800],[$H$,3,2,1,000,2,000]]$

Min constraint A

constraint B

C depends on $A$

D depends on $C$

$D$ depends on $B$

E depends on $D$

F depends on $E$

$G$ depends on $C$

$G$ depends on $B$

$H$ depends on $G$

$H$ depends on $F$

finish time for $H$

maximum crashing for $A$

maximum crashing for $B$

maximum crashing for $C$

maximum crashing for $D$

maximum crashing for $E$

maximum crashing for $F$ finish time for $H$

maximum crashing for $A$

maximum crashing for $B$

maximum crashing for $C$

maximum crashing for $D$

maximum crashing for $E$

maximum crashing for $F$

maximum crashing for $G$

maximum crashing for $H$

$($b$)$ Solve the linear programming model and make the minimum cost crashing decisions. What is the amount of crash time $($in weeks$)$ for each activity?

What is the added cost $($in dollars$)$ of meeting the $16-$week completion time?

$What is the added cost $($in dollars$)$ of meeting the $16-$week completion time? $

$($c$)$ Develop a complete activity schedule based on the crashed activity times.

$\backslash$table$[[$Activity$,\backslash$table$[[$Earliest$],[$Start$]],\backslash$table$[[$Latest$],[$Start$]],\backslash$table$[[$Earliest$],[$Finish$]],\backslash$table$[[$Latest$],[$Finish$]],$Slack,$\backslash$table$[[$Critical$],[$Activity$]]],[$A$,,,$L$,[,,--$Select$--$ V$],[$B$,,,,,,--$Select$--$V$],[$C$,,,[,,,--$ Select$--$V$],[$D$,,,,,,--$Select$--$ V$],[$E$,,,,,,--$Select$--],[$F$,,,,,0,--$Select$--$ V$],[$G$,12,12,20,21,,--$Select$--$V$],[$H$,21,21,24,,,--$ Select$--]]$Norton Industries is installing a new computer system. The activities, the activity times, and the project network are as follows.

$\begin{array}{cc}\text{A}\text{c}\text{t}\text{i}\text{v}\text{i}\text{t}\text{y}& \text{T}\text{i}\text{m}\text{e}\\ A& 3\\ B& 6\\ C& 2\\ D& 5\\ E& 4\\ F& 3\\ G& 9\\ H& 3\end{array}$